Anyon optics with time-of-flight two-particle interference of double-well-trapped interacting ultracold atoms

Constantine Yannouleas; Uzi Landman

doi:10.1103/physreva.100.013605

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arXiv · 1812.07475

Anyon optics with time-of-flight two-particle interference of double-well-trapped interacting ultracold atoms

Constantine Yannouleas·Uzi Landman

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Abstract

The subject of bianyon interference with ultracold atoms is introduced through theoretical investigations pertaining to the second-order momentum correlation maps of two anyons (built upon spinless and spin-1/2 bosonic, as well as spin-1/2 fermionic ultracold atoms) trapped in a double-well optical trap. The two-particle system is modeled according to the recently proposed protocols for emulating an anyonic Hubbard Hamiltonian in ultracold-atom one-dimensional lattices. Because the second-order momentum correlations are mirrored in the time-of-flight second-order interference patterns in space, our findings provide impetus for time-of-flight experimental protocols for detecting anyonic statistics via interferometry measurements of massive particles that broaden the scope of the biphoton interferometry of quantum optics.

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Constantine Yannouleas, Uzi Landman. 2019-07-12. Anyon optics with time-of-flight two-particle interference of double-well-trapped interacting ultracold atoms. https://doi.org/10.1103/physreva.100.013605

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